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Finding the Fourth Proportional to 1,032.20, 1,424.42 and 722.24

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Solution

The fourth proportional to 1,032.20, 1,424.42 and 722.24 is: 996.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.20 : 1,424.42 = 722.24 : x
  2. Step 2: Convert to fraction form
    1,032.20/1,424.42 = 722.24/x
  3. Step 3: Cross multiply
    1,032.20x = 1,424.42 × 722.24
  4. Step 4: Simplify right side
    1,032.20x = 1,028,762.37
  5. Step 5: Solve for x
    x = 1,028,762.37/1,032.20
  6. Step 6: Final answer
    x = 996.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.